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313802

Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines

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Last updated: 05 Jan 2025

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Abstract

The waiting time distribution for the M/M/1 queue with random order service discipline is considered. The results of FLATTO to compare the waiting time distribution for the random order service and the first in first out discipline are used. An algorithm is designed and executed to fit a curve in order to obtain a formula for the intersection point of the two waiting time distributions subject to random order discipline and first in, first out discipline, as a function of traffic intensity only.  

DOI

10.21608/esju.2001.313802

Keywords

M/M/1 Queue, Waiting Time Distribution, Random Order Service Discipline, Little's Law, coefficient of determination

Volume

45

Article Issue

1

Related Issue

43028

Issue Date

2001-06-01

Publish Date

2001-06-01

Page Start

41

Page End

53

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313802.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313802

Order

4

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Empirical Formula for the Intersection Point of Waiting Time Distributions for Both FIFO and ROS Disciplines

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Article

Created At

28 Dec 2024